Volume and Surface Area
- Formula / Rule
- Volume and Surface Area
- Topic
- Geometry
- Formula
Solid Volume Total SA Cube $a^3$ $6a^2$ Cuboid $l \times b \times h$ $2(lb+bh+lh)$ Cylinder $\pi r^2 h$ $2\pi r(r+h)$ Cone $\frac{1}{3}\pi r^2 h$ $\pi r(r+l)$, where $l$ is slant height Sphere $\frac{4}{3}\pi r^3$ $4\pi r^2$ Hemisphere $\frac{2}{3}\pi r^3$ $3\pi r^2$ - When to Use
- Solving 3D shape problems involving capacity, surface area, or cost of material.
- Worked Example
Q: Find the volume of a cylinder with radius $r=5 \text{ cm}$ and height $h=10 \text{ cm}$.
$$V = \pi r^2 h = 3.14 \times 5^2 \times 10 = 3.14 \times 25 \times 10 = 785 \text{ cm}^3$$